MEDIUM
Earn 100

Explain root mean square velocity of gas molecules and give its expression..
Important Questions on Behaviour of Perfect Gases and Kinetic Theory of Gases
EASY
Nitrogen gas is at temperature. The temperature (in ) at which the rms speed of a molecule would be equal to the rms speed of a nitrogen molecule, is (Molar mass of gas ).

EASY
The molecules of a given mass of gas have RMS velocity of at and pressure. When the temperature and pressure of the gas are respectively, and , the r.m.s. velocity of its molecules in is:

EASY
The RMS speed of oxygen at room temperature is about . The RMS speed of hydrogen at the same temperature is about

MEDIUM
The speed of a particle is at a pressure If pressure is increased to times then the rms speed becomes

MEDIUM
The temperature, at which the root mean square velocity of hydrogen molecules equals their escape their escape velocity from the earth, is closest to:
Boltzmann Constant
Avogadro number
Radius of Earth:
Gravitational acceleration on Earth

EASY
At what temperature is the velocity of Hydrogen molecule is equal to that of an oxygen molecule at ?
(Molecular weight of hydrogen Molecular weight of oxygen )

EASY
The root mean square speed of smoke particles each of mass in their Brownian motion in air at is

EASY
Consider a sample of oxygen behaving like an ideal gas. At , the ratio of root-mean-square (RMS) velocity to the average velocity of the gas molecule would be :
(Molecular weight of oxygen is )

MEDIUM
A mass of nitrogen gas is enclosed in a vessel at a temperature, . The amount of heat transferred to the gas, so that velocity of molecules is doubled, is about.

EASY
For given gas at pressure, speed of the molecules is at At pressure and at the speed of the molecules will be:

EASY
The molecules of a monoatomic gas has r.m.s. speed at . It is heated until the r.m.s. speed becomes . What is the new temperature?

EASY
The temperature of an ideal gas is increased from to . If the speed of the gas molecule is at , then at it becomes

EASY
The temperature at which the r.m.s. velocity of oxygen molecules will be of velocity of hydrogen molecules at is

EASY
Equal volumes of hydrogen and oxygen gasses of atomic weights and respectively are found to exert equal pressure on the walls of two separate containers. The rms velocities of the two gasses are in the ratio

EASY
The root-mean-square speed of molecules of a given mass of a gas at and atmosphere pressure is The root-mean-square speed of molecules of the gas at and atmosphere pressure is The value of will be __________.

EASY
The absolute temperature of a gas is increased to 16 times of the original temperature. The rms speed of its molecules will become

EASY
Consider a mixture of gas molecule of types and having masses The ratio of their root mean square speeds at normal temperature and pressure is:

EASY
An molecule has rotational, translational and vibrational motions. If the rms velocity of molecules in its gaseous phase is , m is its mass and is Boltzmann's constant, then its temperature will be:

HARD
A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature . Assuming the gases are ideal, the correct statement(s) is (are)

HARD
The number of gas molecules striking per second per square meter of the top surface of a table placed in a room at and atmospheric pressure is of the order of ( and the average mass of an air molecule is )

